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Finding the Third Proportional to 207,345,668 and 447,897,788

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Solution

The third proportional to 207,345,668 and 447,897,788 is: 967,526,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,345,668 : 447,897,788 = 447,897,788 : x
  2. Step 2: Convert to fraction form
    207,345,668/447,897,788 = 447,897,788/x
  3. Step 3: Cross multiply
    207,345,668x = 447,897,788 × 447,897,788
  4. Step 4: Simplify right side
    207,345,668x = 200,612,428,495,292,928
  5. Step 5: Solve for x
    x = 200,612,428,495,292,928/207,345,668
  6. Step 6: Final answer
    x = 967,526,500.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.